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Finding the Fourth Proportional to 398,645,542.40, 597,968,313.60 and 395,958,156.80

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Solution

The fourth proportional to 398,645,542.40, 597,968,313.60 and 395,958,156.80 is: 593,937,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,645,542.40 : 597,968,313.60 = 395,958,156.80 : x
  2. Step 2: Convert to fraction form
    398,645,542.40/597,968,313.60 = 395,958,156.80/x
  3. Step 3: Cross multiply
    398,645,542.40x = 597,968,313.60 × 395,958,156.80
  4. Step 4: Simplify right side
    398,645,542.40x = 236,770,431,277,860,384
  5. Step 5: Solve for x
    x = 236,770,431,277,860,384/398,645,542.40
  6. Step 6: Final answer
    x = 593,937,235.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.